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n(n+1)(n+5) is a multiple of 3

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n(n+1)(n+5) is a multiple of 3
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Rahul Rawat 8 years, 2 months ago

1. Let n=1 1 (1+1)(1+5) 12 which is divisible by 3 2. n=m m (m+1)(m+5) =3x (m+5)=3x/m(m+1)................................................1 3. n=m+1 (m+1)(m+2)(m+5) 3x/m (m+1)×(m+1)(m+2) hence divisible by 3
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